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2 years ago

Point A(-2,4) Point B (3,-6) a. Calculate the perpendicular gradient of the line AB

Mathematics

1 answer:

olga_2 [115]2 years ago

8 0

Answer:

1/2

Step-by-step explanation:

-6-4 / 3-(-2) = -2

-2(m2) = -1

m2= 1/2

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The nth term of a sequence is given by 12 - 5n. Write down the first 3 terms of the sequence.

zysi [14]

Answer:

$\bold{a_1=7\,,\quad a_2=2\,,\quad a_3=-3}$

Step-by-step explanation:

$a_n=12-5n\\\\\\a_1=12-5\cdot1=12-5=7\\\\a_2=12-5\cdot2=12-10=2\\\\a_3=12-5\cdot3=12-15=-3$

6 0

2 years ago

A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

Calculation the value from standard normal z table, we have,

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

5 0

3 years ago

Please help asap tysm <3

loris [4]

Answer:

9:20 AM

Step-by-step explanation:

they spend 4 hours in total doing activities

We get this value by adding up all the time spent

1:30pm - 4 hours =

9:20 AM

5 0

2 years ago

Plz help! The product of three consecutive natural numbers is 336. What are those numbers?

bekas [8.4K]

Answer:

2x2x2x2x3x7,This is because all of that sum equals the total of

Step-by-step explanation:

2x2x2x2x3x7

8 0

3 years ago

9(x) = 2x-1 r(x) = -2x 2 2 Find the value of r(q (2)).

BabaBlast [244]

Answer:

Answer is -6

Step-by-step explanation:

$given \: q(x) = 2x - 1 \\ and \: r(x) = - 2x \\ r(q(2)) = r(2(2) - 1) \\ \: \: = r(4 - 1) \\ = r(3) \\ = - 2(3) \\ = - 6 \\ therefore \: r(q(2)) = - 6$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago